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Finding the Fourth Proportional to 25,368.64, 38,052.68 and 7,836.48

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Solution

The fourth proportional to 25,368.64, 38,052.68 and 7,836.48 is: 11,754.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,368.64 : 38,052.68 = 7,836.48 : x
  2. Step 2: Convert to fraction form
    25,368.64/38,052.68 = 7,836.48/x
  3. Step 3: Cross multiply
    25,368.64x = 38,052.68 × 7,836.48
  4. Step 4: Simplify right side
    25,368.64x = 298,199,065.77
  5. Step 5: Solve for x
    x = 298,199,065.77/25,368.64
  6. Step 6: Final answer
    x = 11,754.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.